👤

a) x^2 : (3^2)^2 = 2^2 b) 196 : x^2 = 7^4 : 7 c) 324 : 5^x = (2 × 3^2)^2​

Răspuns :

Răspuns:

a)

[tex] {x}^{2} \div ( {3}^{2} )^{2} = {2}^{2} [/tex]

[tex] {x}^{2} \div {3}^{4} = 4[/tex]

[tex] {x}^{2} = 4 \times 81[/tex]

[tex] {x}^{2} = 324[/tex]

[tex]x = \sqrt{324} = 18[/tex]

b)

[tex]196 \div {x}^{2} = {7}^{4} \div 7[/tex]

[tex]196 \div {x}^{2} = {7}^{3} [/tex]

[tex]196 \div {x}^{2} = 343[/tex]

[tex] {x}^{2} = 343 \times 196 = 67228[/tex]

[tex]x = \sqrt{67288} = 259.39[/tex]

c)

[tex]324 \div {5}^{x} = (2 \times {3}^{2} ) ^{2} [/tex]

[tex]324 \times {5}^{x} = 324[/tex]

[tex] {5}^{x} = 1 = > x = 0[/tex]